In an extended discussion on the theory of polyhedra, Beyond the Cube explores the ways in which coupling cube to tetrahedron produces an array of other polyhedra that enable the expansion of design sources beyond the cube. The book examines the geometric laws that govern many of these shapes––prisms, antiprisms, domes, and folded plate structures, as well as space frames––and surveys the symbolic meanings ascribed to many polyhedra. Structural aspects of polyhedra are examined from two points of view, that of the structural engineer and that of the designer using CAD for the purpose of visualization and formal transformations.
The book concludes with a look toward the future of polyhedra in architecture, including tensegrity structures, in which structural elements under compression are not in direct contact with each other; space labyrinths, made of a continuous surface dividing space into two parts; and quasicrystals, three–dimensional manifestations of higher–dimensional polyhedra. The final chapter examines the architectural spaces found within space frames, including "hexmods," "star beams," and the many other spaces that have yet to be named.
For architects, structural engineers, and students, Beyond the Cube covers the what, why, and how of space frame architecture in a comprehensive and accessible manner not available in any other book. Hundreds of line drawings, black–and–white photos, and an eight–page color insert are both instructive and inspiring. This book is more than an introduction to space frames, it is an invitation to explore, discover, and use polyhedra to create imaginative, expressive, and practical designs for buildings.
"We use the cube as if it were the only acceptable model for our living spaces and, in doing so, we ignore countless other forms that might lead to more efficient, more beautiful, more economical, and certainly less worn–out environments." ––from the Preface
Polyhedra, from Pythagoras to Alexander G. Bell (J. Tomlow).
Polyhedrality in the Architecture of Bruce Goff (R. Ristine).
Louis Kahn and Space Frames (I. Ayad).
Buckminster Fuller and the Relevant Pattern (A. Loeb).
Philip Johnson′s Crystal Cathedral and the Rhetoric of Its Free–Form Polyhedral Structure (L. Davis).
Tetrahedral Purity: The Javits Center (M. Levy).
Proportion and Symbolism in Polyhedra (R. Motro).
The Structural Morphology of Basic Polyhedra (T. Wester).
Computer–Aided Processing of Polyhedric Configurations (H. Nooshin, et al.).
Tensegrity: Theory and Application (A. Hanaor).
Visual Morphology of Space Labyrinths: A Source for Architecture and Design (H. Lalvani).
Are Space Frames Habitable?